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Math worksheet focusing on ratio and rate word problems.

A worksheet titled "Ratio, Rate, and Unit Rate Problems" with math word problems involving ratios, rates, and unit rates, including questions about candy, milk, and money.

A worksheet titled "Ratio, Rate, and Unit Rate Problems" with math word problems involving ratios, rates, and unit rates, including questions about candy, milk, and money.

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Show Answer Key & Explanations Step-by-step solution for: Proportion Word Problems Worksheet for 6th - 9th Grade | Lesson Planet
Let’s solve each problem one by one. I’ll go step by step and check my math carefully.

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Problem 1:
> One pack of highlighters costs $2. How many packs can you buy for $6?

We divide total money by cost per pack:
$6 ÷ $2 = 3

Check: 3 packs × $2 = $6 → correct.

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Problem 2:
> One package of blueberries costs $3. How many packages can you buy for $9?

$9 ÷ $3 = 3

Check: 3 × $3 = $9 → correct.

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Problem 3:
> Shreya reduced the size of a rectangle to a height of 2 in. What is the new width if it was originally 5 in. high and 10 in. wide?

This is a proportion problem — we’re scaling down the rectangle, so the ratio of height to width stays the same.

Original: height = 5 in, width = 10 in → ratio = 5:10 = 1:2

New height = 2 in → so new width should be twice that → 2 × 2 = 4 in

Alternatively, set up proportion:

5 / 10 = 2 / x
Cross multiply: 5x = 20 → x = 4

Correct.

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Problem 4:
> Ming ran planning a trip to Wisconsin Rapids. The trip was 180 miles long. If she drove at an average speed of 60 mph, how long did the trip take?

Time = Distance ÷ Speed
180 miles ÷ 60 mph = 3 hours

Check: 60 mph × 3 h = 180 miles → correct.

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Problem 5:
> To rent a bicycle, it cost $10 plus $5 per hour. How much does it cost to rent for 3 hours?

Base fee: $10
Hourly rate: $5/hour × 3 hours = $15
Total: $10 + $15 = $25

Check: 10 + (5×3) = 25 → correct.

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Problem 6:
> If you eat four half-pints of chicken galls, how many pints do you eat?

“Half-pint” means ½ pint.

4 × ½ = 2 pints

Check: 4 halves make 2 wholes → correct.

*(Note: “chicken galls” is probably a typo — maybe “chicken gravy” or just “gallons”? But since it says “half-pints”, we treat it as volume units.)*

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Problem 7:
> At the beach, all seashells that people give away are sold for $3 each. How many seashells can you buy for $21?

$21 ÷ $3 = 7

Check: 7 × $3 = $21 → correct.

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Problem 8:
> The movie with a bird has a ticket price of $10. The teacher gave a class of 22 students tickets. How much would the teacher pay for all 22 tickets?

22 students × $10 = $220

Check: 22 × 10 = 220 → correct.

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Final Answer:
1. 3
2. 3
3. 4
4. 3
5. 25
6. 2
7. 7
8. 220
Parent Tip: Review the logic above to help your child master the concept of proportion word problems worksheet.
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